Ficitious time integration method for solving the time fractional gas dynamics equation
Partohaghighi, Mohammad Inc, Mustafa Baleanu, Dimitru Moshokoa, Seithuti Philemon
Partohaghighi, Mohammad
Inc, Mustafa
Baleanu, Dimitru
Moshokoa, Seithuti Philemon
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Abstract
In this work a poweful approach is presented to solve the time-fractional gas dynamics equation. In fact, we use a fictitious time variable y to convert the dependent variable w(x, t) into a new one with one more dimension. Then by taking a initial guess and implementing the group preserving scheme we solve the problem. Finally four examples are solved to illustrate the power of the offered method.
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Date
2018-12-01
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Publisher
National Library of Serbia
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Keywords
Fictitious time integration method, Group preserving scheme, Time fractional gas dynamics equation, Caputo derivative